Details

Time bar (total: 4.2s)

sample54.0ms

Algorithm
intervals
Results
22.0ms55×body1280valid
11.0ms141×body80valid
7.0ms28×body640valid
3.0ms17×body320valid
2.0ms15×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(* z (sin y))
3.0ms
(* x (cos y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* z (sin y))
36.0ms
(* x (cos y))

simplify91.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0118145
1439125
21037125
31579125
43660125
55002125

prune106.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series467.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
106.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify98.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune243.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.3b
(cbrt (pow (cos y) 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
13.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms
(pow (cos y) 2)
4.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series322.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
101.0ms
(cbrt (cos y))
160.0ms
(cbrt (pow (cos y) 2))

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0233421
11069364
25001345

prune227.0ms

Filtered
78 candidates to 51 candidates (65.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (exp (cbrt (cos y))))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.3b
(cbrt (pow (cos y) 2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×pow1 unpow-prod-down exp-prod
5×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow log-prod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow rem-log-exp pow-exp
Counts
4 → 63
Calls
4 calls:
2.0ms
(log (exp (cbrt (cos y))))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (pow (cos y) 2))

series374.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(log (exp (cbrt (cos y))))
22.0ms
(pow (cos y) 2)
97.0ms
(cbrt (cos y))
159.0ms
(cbrt (pow (cos y) 2))

simplify69.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0177317
1531279
21874267
35002266

prune230.0ms

Filtered
75 candidates to 51 candidates (68.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample1.6s

Algorithm
intervals
Results
655.0ms1583×body1280valid
320.0ms1208×body640valid
249.0ms4295×body80valid
110.0ms635×body320valid
34.0ms279×body160valid